Permutation-symmetric quantum trajectories
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914570991304704 |
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| author | Lloyd, Elliot W. Ziolkowska, Aleksandra A. Keeling, Jonathan |
| author_facet | Lloyd, Elliot W. Ziolkowska, Aleksandra A. Keeling, Jonathan |
| contents | We show how one may perform a stochastic unraveling which respects weak permutation symmetry for models of $N$ emitters coupled to a common system (e.g. a cavity mode). For problems involving 2-level emitters, such an unravelling reduces the computational cost from $\mathcal{O}(N^5)$ to $\mathcal{O}(N^2)$, and with additional refinements, allows reduction to $\mathcal{O}(N)$. This significantly increases the range of system sizes for which one can model exact quantum dynamics of such systems. We further show how the method can also be applied to d-level systems, with computational effort scaling as $\mathcal{O}(N^{d(d-1)/2})$, and we show it allows large-N simulations for d=3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11103 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Permutation-symmetric quantum trajectories Lloyd, Elliot W. Ziolkowska, Aleksandra A. Keeling, Jonathan Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases We show how one may perform a stochastic unraveling which respects weak permutation symmetry for models of $N$ emitters coupled to a common system (e.g. a cavity mode). For problems involving 2-level emitters, such an unravelling reduces the computational cost from $\mathcal{O}(N^5)$ to $\mathcal{O}(N^2)$, and with additional refinements, allows reduction to $\mathcal{O}(N)$. This significantly increases the range of system sizes for which one can model exact quantum dynamics of such systems. We further show how the method can also be applied to d-level systems, with computational effort scaling as $\mathcal{O}(N^{d(d-1)/2})$, and we show it allows large-N simulations for d=3. |
| title | Permutation-symmetric quantum trajectories |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2605.11103 |